Greatest Common Factor of 7788/654, 6077/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7788/654, 6077/507

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7788/654,6077/507

Given fractions are 7788/654,6077/507

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7788,6077

Greatest Common Factor of Numerators i.e. GCF of 7788,6077 is 59 .

LCM of Denominators means LCM of 654,507 as per the given fractions.

LCM of 654,507 is 110526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7788,6077

GCF of Fractions 7788/654,6077/507 is 59/110526

59 7788, 6077
132, 103

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 7788,6077 By Matching Biggest Common Factor Method

Greatest Common Factor of 7788,6077 By Matching Biggest Common Factor Method

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1,59,103,6077

Greatest Common Factor

We found the factors 7788,6077 . The biggest common factor number is the GCF number.
So the greatest common factor 7788,6077 is 59.

Lets's calculate LCM of 654,507

3 654, 507
218, 169

∴ So the LCM of the given numbers is 3 x 218 x 169 = 110526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/110526

Therefore, the GCF of Fractions 7788/654,6077/507 is 59/110526

Least Common Multiple of 654,507 with GCF Formula

Least Common Multiple of 654,507 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 654,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,507) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(654,507) x common factors =3 x 1 = 3

LCM(654,507) = ( 654 × 507 ) / 3

LCM(654,507) = 331578 / 3

LCM(654,507) = 110526


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7788/654, 6077/507

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7788/654, 6077/507?

Answer: GCF of Numerators as per given numbers 7788/654, 6077/507 is

GCF of Numerators i.e. for 7788,6077 is 59

LCM of denominators i.e. for 654,507 is 110526.

Thus, GCF of Fractions is 59/110526.Finally, GCF of Fractions for 7788/654, 6077/507 is 59/110526.